Question

Can any Hermitian operator be expressed as the squared absolute value of a non-Hermitian operator?

score 262 · Answer 1 · 2017-04-08 11:37:12

262

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Can any Hermitian operator be expressed as the squared absolute value of a non-Hermitian operator?

Published on 08 Apr 2017 - 11:37

score 75 · Answer 2 · 2023-01-31 17:48:53

75

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one-dimensional representation of the Free Group.

Published on 31 Jan 2023 - 17:48

score 25 · Answer 3 · 2026-03-28 02:49:57

25

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Inclusion of factors with separable predual and with expectation

Published on 28 Mar 2026 - 2:49

score 56 · Answer 4 · 2026-03-25 11:12:01

56

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Prove that, $H^\infty+C(\Bbb{T})$ is not a $C^*$-algebra

Published on 25 Mar 2026 - 11:12

score 35 · Answer 5 · 2026-03-28 02:49:57

35

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continuous decomposition of type III von Neumann algebras

Published on 28 Mar 2026 - 2:49

score 133 · Answer 6 · 2026-03-25 17:17:18

133

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Densely defined and closed operator

Published on 25 Mar 2026 - 17:17

score 21 · Answer 7 · 2026-02-23 04:47:29

21

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Prove that $w(R_n)\le w(T\otimes S_n)$ where $S_n$ denote cyclic forward shift on $\Bbb{C}^n$, $R_n\in M_n(B(H))$ with subdiagonal entris $T$

Published on 23 Feb 2026 - 4:47

score 92 · Answer 8 · 2023-02-12 10:36:29

92

Views

Finding ideals of $C(X)$ where $X$ is compact Hausdorff space

Published on 12 Feb 2023 - 10:36

score 521 · Answer 9 · 2026-03-28 04:34:50

521

Views

Definition of normal state on von Neumann algebra

Published on 28 Mar 2026 - 4:34

score 57 · Answer 10 · 2026-03-28 04:33:37

57

Views

How to use Spectral theorem in this proof?

Published on 28 Mar 2026 - 4:33

score 164 · Answer 11 · 2026-03-28 04:34:20

164

Views

Irreducible subfactor inclusion and von Neumann type

Published on 28 Mar 2026 - 4:34

score 56 · Answer 12 · 2026-02-23 04:47:28

56

Views

$\pi:M_n\to B(K)$ be a unital $*$-homomorphism. Prove, upto equivalence $K=H_1\oplus\cdots\oplus H_n$ with $H_i=H$ such that $\pi(E_{ij})$ satisfies

Published on 23 Feb 2026 - 4:47

score 150 · Answer 13 · 2026-03-28 04:35:15

150

Views

What are your favorite books or textbooks dealing with operator algebras?

Published on 28 Mar 2026 - 4:35

score 215 · Answer 14 · 2026-03-28 04:36:17

215

Views

The reduction of a Von Neumann algebra's center is the center of its own reduction

Published on 28 Mar 2026 - 4:36

score 112 · Answer 15 · 2026-03-25 17:24:27

112

Views

Inequalities for Extensions of Unbounded Operators

Published on 25 Mar 2026 - 17:24

List Question

Can any Hermitian operator be expressed as the squared absolute value of a non-Hermitian operator?

one-dimensional representation of the Free Group.

Inclusion of factors with separable predual and with expectation

Prove that, $H^\infty+C(\Bbb{T})$ is not a $C^*$-algebra

continuous decomposition of type III von Neumann algebras

Densely defined and closed operator

Prove that $w(R_n)\le w(T\otimes S_n)$ where $S_n$ denote cyclic forward shift on $\Bbb{C}^n$, $R_n\in M_n(B(H))$ with subdiagonal entris $T$

Finding ideals of $C(X)$ where $X$ is compact Hausdorff space

Definition of normal state on von Neumann algebra

How to use Spectral theorem in this proof?

Irreducible subfactor inclusion and von Neumann type

$\pi:M_n\to B(K)$ be a unital $*$-homomorphism. Prove, upto equivalence $K=H_1\oplus\cdots\oplus H_n$ with $H_i=H$ such that $\pi(E_{ij})$ satisfies

What are your favorite books or textbooks dealing with operator algebras?

The reduction of a Von Neumann algebra's center is the center of its own reduction

Inequalities for Extensions of Unbounded Operators

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